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Determine fe when f(x, y) = 2x - y x + 2y

Determine fe when f(x, y) = 2x - y x + 2y

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(part 1 of 4) Determine fe when 1. fa = 2. fx = 3. fx = 4. fx = 5. fx = 6. fx = 1. fx 2. fx = = f(x, y) 5.x (x + 2y)² 3y (x + 2y)² (part 2 of 4) Determine fe when f(x, y) = x sin(2y − x) + cos(2y — x). = 4x (x + 2y)² = 3x (x+2y)² 4y (x + 2y)² = cos (2y - x) x sin(2y - x) = x cos(2y - x) - sin(2y - x) 2 sin(2y x) x cos(2y - x) - = 5y (x + 2y)² 3. fx = 4. fx = x sin(2y - x) 5. fx = x cos(2y - x) 6. fx = -x sin(2y - x) 7. fx -x cos(2y - x) 8. fx -2 sin(2y - x) - x cos(2y - x) = 2x - Y x + 2y (part 3 of 4) Determine f when f(x, y) = x cos(x + 2y) + sin(x + 2y). 1. fx 2. fx 3. fx 4. fx = x cos(x + 2y) 5. fx 6. fx 7. fx 8. fx = = 2 sin(x + 2y) + x cos(x + 2y) = 2 sin(x + 2y) - x cos(x + 2y) 2x cos(x + 2y) = 2 cos(x + 2y) + x sin(x + 2y) 2 cos(x + 2y) - x sin(x + 2y) -2x sin(x + 2y) -x sin(x + 2y)
Transcribed Image Text:(part 1 of 4) Determine fe when 1. fa = 2. fx = 3. fx = 4. fx = 5. fx = 6. fx = 1. fx 2. fx = = f(x, y) 5.x (x + 2y)² 3y (x + 2y)² (part 2 of 4) Determine fe when f(x, y) = x sin(2y − x) + cos(2y — x). = 4x (x + 2y)² = 3x (x+2y)² 4y (x + 2y)² = cos (2y - x) x sin(2y - x) = x cos(2y - x) - sin(2y - x) 2 sin(2y x) x cos(2y - x) - = 5y (x + 2y)² 3. fx = 4. fx = x sin(2y - x) 5. fx = x cos(2y - x) 6. fx = -x sin(2y - x) 7. fx -x cos(2y - x) 8. fx -2 sin(2y - x) - x cos(2y - x) = 2x - Y x + 2y (part 3 of 4) Determine f when f(x, y) = x cos(x + 2y) + sin(x + 2y). 1. fx 2. fx 3. fx 4. fx = x cos(x + 2y) 5. fx 6. fx 7. fx 8. fx = = 2 sin(x + 2y) + x cos(x + 2y) = 2 sin(x + 2y) - x cos(x + 2y) 2x cos(x + 2y) = 2 cos(x + 2y) + x sin(x + 2y) 2 cos(x + 2y) - x sin(x + 2y) -2x sin(x + 2y) -x sin(x + 2y)
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